Question

The converse of "If $x$ has courage, then $x$ will win", is

• A. If $x$ wins, then $x$ has courage.
• B. If $x$ has no courage, then $x$ will not win.
• C. If $x$ will not win, then $x$ has no courage.
• D. If $x$ will not win, then $x$ has courage.

Answer 1

The correct option is A If $x$ wins, then $x$ has courage.

Take $p:x$ has courage

and $q:x$ will win

So the given conjugation is $p\Rightarrow q$

Now we need to find converse of this.

Be definition, Converse will be $q\Rightarrow p$

This is symbolic for "If $x$ wins then $x$ has courage